@yoy - there may be others responding who have more experience, but here's my take.
If you are self-funding (at least until funds are exhasuted) then social workers will leave it to you to find a care home placement.
My Mum went into a home that we paid for initially, and then the council paid for, with her making a contribution. In order for the council to start paying, they will do a financial assessment of all the assets the person has (or half of most joint assets). They will then let you know the result of this. They will also do a capacity assessment (i.e. how far advanced is the dementia). By the time we stopped paying and the council took over, Mummy was pretty far into mixed dementia so cold not really answer any of the social workers questions, but we all agreed a care home was the best place for her and that she should stay in what she then considered her home.
Not all councils work the same way or are prepared to bear the same costs.
We were lucky in that the council took on her costs and she was able to stay where she was. I recommend you contact your local Carers Centre for advice on this. Especially the issue of the bungalow. I think most members here wold agree with me i that giving up rented or other accomodation is often a necessity when dementia reaches a point that the person is no longer safe, and sometines does not recognise, their home.